Question

The hypotenuse of a triangle is 26 mm one leg of the right triangle is 10 mm what is the length of the other leg the options are 18 20 24 and 28

Answer 1

24 mm

Explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the other leg, then

x² + 10² = 26²

x² + 100 = 676 ( subtract 100 from both sides )

x² = 576 ( take the square root of both sides )

x =
`√(576)` = 24

The length of the other leg is 24 mm